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Reports on Geodesy and Geoinformatics
Volume 112 (2021): Issue 1 (December 2021)
Open Access
Detection of periodic displacements of shell structures with edges using spline surfaces, meshes and point clouds
Grzegorz Lenda
Grzegorz Lenda
and
Katarzyna Abrachamowicz
Katarzyna Abrachamowicz
| Dec 17, 2021
Reports on Geodesy and Geoinformatics
Volume 112 (2021): Issue 1 (December 2021)
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Article Category:
Original Article
Published Online:
Dec 17, 2021
Page range:
27 - 33
Received:
Jul 03, 2021
Accepted:
Nov 18, 2021
DOI:
https://doi.org/10.2478/rgg-2021-0005
Keywords
periodic measurements
,
deformations
,
point clouds
,
mesh
,
spline
© 2021 Grzegorz Lenda et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Figure 1
The shell studied during the measurements performed in 2013 (a) and 2020 (b)
Figure 2
The flange torn off and bent in 2013 (a) and repaired in 2020 (b). The tile damaged in 2020 (d) compared to 2013 (c). The photos show the edges of the flange and narrow longitudinal slats forming additional edges
Figure 3
Point clouds from the epoch 2013 (a) and 2020 (b)
Figure 4
Chamfering of the mesh edge (a), undulations of the spline surface along the edge (b)
Figure 5
Periodic displacements of the structure determined by direct comparison of point clouds. View of the entire structure as well as the left and right parts of the front patches with deformations and edges
Figure 6
Periodic displacements of the structure determined by comparing the primary point cloud with the mesh model created for the current measurement. View of the entire structure as well as the left and right parts of the front patches with deformations and edges
Figure 7
Periodic displacements of the structure determined by comparing the primary point cloud with the spline model created for the current measurement. View of the entire structure as well as the left and right parts of the front patches with deformations and edges
Percentages of the individual deviation ranges and the average deviations
Range of deviations [mm]
Percentage of deviation [%]
Cloud to cloud
Cloud to mesh
Cloud to spline
(0, 5]
98.83
95.16
37.75
(5, 10]
0.90
3.25
33.06
(10, 15]
0.11
1.13
22.35
(15, 20]
0.06
0.37
5.68
>20
0.11
0.09
1.16
Average deviation [mm]
1.9
2.8
7.1